Look at the question below.

An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M

Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:

A = L x W

where A is the area of the logo, L is the length of the logo, and W is the width of the logo.

Substituting the given values, we get:

A = (7(1)/(5)) x M

or

A = (36/5) x M

Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:

A = X

Combining both equations, we get:

X = (36/5) x M

This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.

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Answer:

24

Step-by-step explanation:

Do the equation in the () first, 8+4 = 12, and 12 x 2 = 24

Answer:

B, \(\sqrt 156\)

Step-by-step explanation:

B \(\sqrt156 = 12.489996\)

A\(\sqrt144=12\)

C\(\sqrt169=13\)

D\(\sqrt196=14\)

Answer:

37 shots

Step-by-step explanation:

48% = 48/100

Set the ratios equal to each other so that we can find "x" the number of shots she made.

48/100 = x/78

78*48 = 3744

3744/100 = 37.44

She made 37 shots

Dilation is the process of enlarging or contracting a figure. Dilations are transformations that result in an enlargement or a decrease.

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If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.

A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.

The number of dots plotted on each number line shows the frequency of the data group.

Height    Frequency   Cumulative Frequency

56¹/₂             2                               2

57                 2                               4

57¹/₂             2                               6

58                2                               8

58¹/₂             1                               9

Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.

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Answer:

≠

Step-by-step explanation:

Conclusion:

6,2 × 10² ≠ 0 × t + ½ × (-9/8) × t² + 2582,91

\( \)

Answer:

8 and 9

Step-by-step explanation:

Answer:

Think!

72 + 82 = 49 + 64 = 113

82 + 92 = 64 + 81 = 145

Step-by-step explanation:

Found the answer by simple experimentation.

hope this helps

The names of the function represented by each of the function tables are;

1) Linear Function

2) Exponential Function

3) Quadratic Function

1) In function 1 , we see that;

When x = 1, y = -35

when x = 2, y = -27

when x = 3, y = -21

when x = 4, y = -17

Now, let us look at the pattern;

As x increases by 1, we see that the rate of change is 2 constantly. Thus, this is a quadratic function.

2) In function 2, we see that;

When x = 3, y = 8

When x = 4, y = 16

When x = 5, y = 32

When x = 6, y = 54

Now, let us look at the pattern;

As x increases by 1, y increases by a multiplying the previous number by 2. This is therefore an exponential function.

3) In function 3, we see that;

When x = 4, y = 8

When x = 5, y = 2

When x = 6, y = -4

When x = 7, y = -10

Now, let us look at the pattern;

As x increases by 1, the value of y reduces by 6 constantly and as such this is a linear function.

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Answer:

4/9

Step-by-step explanation:

Answer:

57327392393629324

Step-by-step explanation:

Answer:

3.70

Step-by-step explanation:

(1)(.12)+(2)(.17)+(3)(.17)+(4)(.17)+(5)(.17)+(6)(.20) = 3.70

Answer:

To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x = √a/√b

x² = √a²/√b²

x² = a/b

Answer:

Hi there

it should be A.

good

-7(-x-10)

multiply the bracket by -7

-negative sign and -negative sign= +positive sign

(-7)(-x)=7x

(-7)(-10)=70

answer:

7x+70

Answer:

First answer is infinitely many.  It doesn't matter what x is.

Second answer is x = -5.

Step-by-step explanation:

8 + x = 3

x = - 5

Answer:

32 square milimeters

Step-by-step explanation:

3/4 of 24= 18    (rectangle 8X3)

4x2=8     (rectangle 4x2)

half of 12 =6       (rectangle  4x3)

   18+8+6 =32

Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

Answer:

The unit cost one is A

Step-by-step explanation:

Because it is the only answer that the math actually adds up to

Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:

13

-5

-8

-5+-8

Step-by-step explanation:

a ) they loose 13 yards in two plays.

b )It is represented by - 5 yards.

c) It is represented by - 8 yards.

d) Addition sentence will be ; 8 + 5 = 13

e) The answer will be 13.

It is given that a football team loses 5 yards on one play and then loses 8 yards on the next play.

We have to answer the given questions based on the provided data.

What will be the value if 2 times of 10 is added to 10 ?

The value will be ; 20 + 10 = 30.

As per the question ,

A football team loses 5 yards on 1st game and 8 yards on 2nd game.

Let's give answer to the question ;

a)

Total yards the team lost in two plays

= 8 +5

= 13

b) As the team is loosing 1st play , we can consider it as a negative value.

  So ,

  It can be represented by x = - 5 yards.

c) As the team is loosing in 2nd play , we can consider it as a negative value.

  So ,

  It can be represented by x = - 8 yards.

d) The expression for addition can be written as ;

  8 + 5 = 13

e) The answer to the question will be equal to 13 yards.

Thus , we can conclude that ;

a ) they loose 13 yards in two plays.

b )It is represented by - 5 yards.

c) It is represented by - 8 yards.

d) Addition sentence will be ; 8 + 5 = 13

e) The answer will be 13.

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The equation to represent the orbit of Pluto around the Sun will be x²/4659.42 + y²/4566.31 = 1.

The distance from the center of the elliptical orbit to the sun is 897.5 million miles. The aphelion will be:

= 5448.5 + 897.5

= 6346 million miles

The equation of ellipse will be:

x²/a² + y²/b² = 1

x²/4659.42 + y²/4566.31 = 1

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The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.

To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.

Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.

In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.

The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.

The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.

The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.

Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.

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Using the monthly payment formula, it is found that:

It is given by:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

In which:

Considering that she must pay 20% down, the parameters are given by:

P = 0.8 x 2900 = 2320, r/12 = 0.085/12 = 0.007083, n = 24.

Hence the monthly payments are found as follows:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

\(A = 2320\frac{0.007083(1.007083)^{24}}{(1.007083)^{24} - 1}\)

A = $105.46.

The total finance charge is composed by the down payment plus the 24 monthly payments, hence:

F = 0.2 x 2900 + 24 x 105.46 = $3,111.04.

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The quadratic function f(x) = 4x² + 16x + 8 can be expressed in vertex form

Max's error is in step 3

The function is given as:

\(f(x) = 4x^2 + 16x + 8\)

Factor out 4

\(f(x) = 4(x^2 + 4x) + 8\)

Take the coefficient of x

\(k = 4\)

Divide by 2

\(k/2 = 2\)

Square both sides

\((k/2)^2 = 4\)

Add and subtract 4 to the bracket

\(f(x) = 4(x^2 + 4x + 4 - 4) + 8\)

Expand

\(f(x) = 4(x^2 + 4x + 4) + 8 - 16\)

By comparing the above equation to step 3 of Max solution, we can determine that Max's error is in step 3

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Amy's forth  account is the most over drawn of all the four accounts

What is the total balance of all accounts?

The total balance of all 4 accounts can be determined as the sum of all account balances, bearing in mind that a positive is added whereas an overdrawn balance is deducted

Total balance=$250-$45+$100+$x

The total balance=$130

the balance in the forth account=$x

Let us substitute $130 for the total balance

$130==$250-$45+$100+$x

$130=$305+$x

$x=$130-$305

$x=-$175

The fact that the forth account has  a balance of negative $175 means that it is also overdrawn, in essence, the correct option out of the 4 options is A, the forth account is most overdrawn because it is more overdrawn that the second account with a negative balance of $45.

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Answer:

Transitive property for equality

Step-by-step explanation: